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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 799–814
DOI: https://doi.org/10.17377/semi.2016.13.064 (Mi semr714) 		 
Computational mathematics

An algorithm for constructing a finite element of the third degree

N. V. Baidakova

Krasovskii Institute of Mathematics and Mechanics, ul. S.Kovalevskoi, 16, 620990, Ekaterinburg, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.064
Abstract: The article presents an algorithm of setting Hermite interpolation conditions in tetrahedra of triangulated area in order to obtain a continuous piecewise-polynomial function. The use of the obtained finite element space requires additional restrictions on triangulation as compared with the space under construction using Lagrange interpolation, but the obtained finite element space has a smaller dimension.
Keywords: multidimensional interpolation, finite elements.
Funding agency Grant number
Russian Science Foundation 14-11-00702
Received May 23, 2016, published September 30, 2016
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 41A63
Language: Russian
Citation: N. V. Baidakova, “An algorithm for constructing a finite element of the third degree”, Sib. Èlektron. Mat. Izv., 13 (2016), 799–814
Citation in format AMSBIB
\Bibitem{Bai16}
\by N.~V.~Baidakova
\paper An algorithm for constructing a finite element of the third degree
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 799--814
\mathnet{http://mi.mathnet.ru/semr714}
\crossref{https://doi.org/10.17377/semi.2016.13.064}
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